Create equations to solve for f and g

Please answer the following question. Also please answer if you actually know it.

Iteru [2.4K]

Given : f(x)= 3|x-2| -5

f(x) is translated 3 units down and 4 units to the left

If any function is translated down then we subtract the units at the end

If any function is translated left then we add the units with x inside the absolute sign

f(x)= 3|x-2| -5

f(x) is translated 3 units down

subtract 3 at the end, so f(x) becomes

f(x)= 3|x-2| -5 -3

f(x) is translated 4 units to the left

Add 4 with x inside the absolute sign, f(x) becomes

f(x)= 3|x-2 + 4| -5 -3

We simplify it and replace f(x) by g(x)

g(x) = 3|x + 2| - 8

a= 3, h = -2 , k = -8

5 0

3 years ago

Can you help me solve this please

Lostsunrise [7]

9514 1404 393

Answer:

180 days

Step-by-step explanation:

The formulas for the volume of a cone and a cylinder are ...

V = πr²h . . . . . volume of a cone

V = (1/3)πr²h . . . . . volume of a cylinder

Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.

V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³

When the corn is used at the rate of 170 ft³/day, it will last ...

(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days

The corn will last 180 days.

_____

Additional comment

In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.

7 0

2 years ago

You measure the width of a doorway and find that it is 1.20 m wide. Find the greatest possible error of your measurement

elena-s [515]

Given that the distance between two lines in the measurement instrument is 0.01m, the maximum error should be 0.01m/2 = 0.005 m.

If you do a good work, the real measure is 1.20m +/- 0.005m, this is between 1.195 and 1.205.

8 0

2 years ago

Solve a/-6 + 8 = 12. please answer quickly i'm giving 60 points a =

san4es73 [151]

Answer:

a=-24

Step-by-step explanation:

a/-6+8=12

subtract 8 from both sides

a/-6=4

multiply each side by -6

a=-24